Start hike at Yosemite Valley Four Mile Trail to Glacier Point
From Glacier Point to Illilouete Falls, Nevada Falls, JMT then Rest at Little Yosemite Valley.
From LYV the next day go to Clouds Rest
Third Day go down the MIST trail to Happy Isles.

You can't camp at Glacier Point (even if backpacking), or anywhere along the South Rim of Yosemite Valley. You can only camp away from the road, including Glacier Point road. I don't remember how far, but it's at least a mile or two. You can start out taking a morning bus from the Valley to Glacier Point and start there. Or you can walk up the Four Mile Trail, as you propose. But you have to continue on to Illilouette Creek and camp somewhere there. At least you can buy a meal at Glacier Point and not have to carry it.

The rest of the trip sounds very doable. Clouds Rest and back is a long day, but you have a head start from LYV. Take plenty of water after the last stream crossing (shown at a trail junction on the map).

I am sure you have already taken your trip by now... let us know how it was. I just went Half Dome last week and there was absolutely no snow at all. It was absolutely gorgeous. No controlled burns either.

Yes, the trip was outstanding. But we didn't do that route at all. Permits for that trailhead sell out by 8:45 AM the day before. So we did a different hike on the North Rim, up Yosemite Falls, day hike to El Cap, across to North Dome, down & out by Mirror Lake.